Why proofs by mathematical induction are generally not explanatory

Analysis

Volumn 69, Issue 2, 2009, Pages 203-211

  Lange, Marc ^a  

^a UNIVERSITY OF NORTH CAROLINA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77950385867     PISSN: 00032638     EISSN: 14678284     Source Type: Journal    
DOI: 10.1093/analys/anp002     Document Type: Article

References (12)

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4. Hanna, G. 1989. Proofs that prove and proofs that explain. In Proceedings of the 13th International Conference for the Psychology of Mathematics Education, Vol.II, eds. G. Vergnaud, J. Rogalski and M. Artigue, 45-51. Paris: Laboratoire PSYDEE
5. Hanna, G. 1990. Some pedagogical aspects of proof. Interchange 21: 6-13
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8. Mancosu, P. 2001. Mathematical explanation: problems and prospects. Topoi 20: 97-117
9. Reid, D.A. 2001. Elements in accepting an explanation. The Journal of Mathematical Behavior 20: 527-547
10. Resnik, M.D. and D. Kushner. 1987. Explanation, independence, and realism in mathematics. British Journal for the Philosophy of Science 38: 141-158
11. Smith, J. 2006. A sense-making approach to proof: strategies of students in traditional and problem-based number theory courses. The Journal of Mathematical Behavior 25: 73-90
12. Steiner, M. 1978. Mathematical explanation. Philosophical Studies 34: 135-151